Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Programming
Inequalities
Optimization

Formulas

Objective Function: Z = 2x1 + 1.5x2
Constraint Equations: 32x1 + 20x2 ≤ 64, 20x1 + 8x2 ≤ 40, 10x1 + 6x2 ≤ 32
Slack Variables

Theorems

Simplex Method
Linear Programming Theorems

Suitable Grade Level

Undergraduate level (Optimization/Linear Algebra)